Atkin-Lehner |
2+ 3- 7- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
29274w |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
33041620942848 = 214 · 310 · 72 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-72591,-7528766] |
[a1,a2,a3,a4,a6] |
j |
42302248243050363625/33041620942848 |
j-invariant |
L |
2.9087067574887 |
L(r)(E,1)/r! |
Ω |
0.29087067574871 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87822br1 |
Quadratic twists by: -3 |